10757077753456 has 160 divisors (see below), whose sum is σ = 22719611566080. Its totient is φ = 4920315079680.

The previous prime is 10757077753439. The next prime is 10757077753469. The reversal of 10757077753456 is 65435777075701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5370482151 + ... + 5370484153.

It is an arithmetic number, because the mean of its divisors is an integer number (141997572288).

Almost surely, 2^{10757077753456} is an apocalyptic number.

10757077753456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10757077753456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359805783040).

10757077753456 is an abundant number, since it is smaller than the sum of its proper divisors (11962533812624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10757077753456 is an equidigital number, since it uses as much as digits as its factorization.

10757077753456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 151263000, while the sum is 64.

The spelling of 10757077753456 in words is "ten trillion, seven hundred fifty-seven billion, seventy-seven million, seven hundred fifty-three thousand, four hundred fifty-six".